- #1

mcafej

- 17

- 0

## Homework Statement

1. The sample space Ω of a certain experiment are the values 1, 2, 3, 4 and

5 and the probability assigned to a possible value w is proportional

to w

^{2}.

(a) What is the probability mass function p(w) for this probability

space?

(b) What probability does this mass function assign to the interval

(1; 3]?

## Homework Equations

## The Attempt at a Solution

The hardest part for me to understand is the probabilities being proportional to w

^{2}. I believe the probabilities for w are 1/15, 2/15, 3/15, 4/15 and 5/15, but I'm not sure. If somebody could clear this up for me it would really help. What does it mean for w to be proportional to w

^{2}?